Chordal multipartite graphs and chordal colorings

被引：0
|
作者：
McKee, Terry A. [1 ]
机构：
[1] Wright State Univ, Dept Math & Stat, Dayton, OH 45435 USA
来源：
DISCRETE MATHEMATICS | 2007年 / 307卷 / 17-18期
关键词：
chordal graphs; vertex separator; chordal bipartite graph; coloring;
D O I：
10.1016/j.disc.2006.11.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
'Chordal multipartite graphs' are properly colored graphs such that two vertices in a minimal vertex separator are adjacent if and only if they are differently colored. They have induced cycle characterizations that transcend those of chordal and chordal bipartite graphs. Graphs that have such 'chordal colorings' are weakly chordal graphs with simple forbidden subgraph characterizations, and such a chordal coloring of a graph G requires only chi(G) colors. (c) 2007 Elsevier B.V. All rights reserved.
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页码：2309 / 2314
页数：6
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